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Finding the Third Proportional to 251,492 and 542,188

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Solution

The third proportional to 251,492 and 542,188 is: 1,168,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,492 : 542,188 = 542,188 : x
  2. Step 2: Convert to fraction form
    251,492/542,188 = 542,188/x
  3. Step 3: Cross multiply
    251,492x = 542,188 × 542,188
  4. Step 4: Simplify right side
    251,492x = 293,967,827,344
  5. Step 5: Solve for x
    x = 293,967,827,344/251,492
  6. Step 6: Final answer
    x = 1,168,895.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.